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Magnetic focussing of charge carriers in two-dimensional systems provides asolid state version of a mass spectrometer. In the presence of a spin-orbitinteraction, the first focussing peak splits into two spin dependent peaks,allowing focussing to be used to measure spin polarisation and the strength ofthe spin-orbit interaction. In hole systems, the k^3 dependence of the Rashbaspin-orbit term allows the spatial separation of spins to be changed in-situusing a voltage applied to an overall top gate. Here we demonstrate that thiscan be used to control the splitting of the magnetic focussing peaks.Additionally, we compare the focussing peak splitting to that predicted byShubnikov-de Haas oscillations and k.p bandstructure calculations. We find thatthe focussing peak splitting is consistently larger than expected, suggestingfurther work is needed on understanding spin dependent magnetic focussing.

Gate voltage dependent Rashba spin splitting in hole transverse magnetic focussing